Geogebra Files

Differential Equations

Slope Fields
Input the right-hand side of a differential equation of the form dy/dx = f(x,y) to see its slope field. Input an initial condition to see a plot of the particular solution.

[ file ]

Euler's Method
(with Jon Rogness)
Input the right-hand side of a differential equation of the form dy/dx = f(x,y) to see a plot of the approximate solution solved using Euler's Method.
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[ file ]

Equilibrium solutions: Logistic population model with harvesting
​(with Jon Rogness)
Vary parameter values and initial conditions to observe changes in equilibrium behavior. For the pre-loaded parameter values, a bifurcation occurs around h=18.

​[ file | worksheet ]

 Solutions to systems of 2 linear ODEs
Input the coefficient matrix to view the true solution, given an initial condition. Also input the calculated eigenvalues and eigenvectors to check your calculations against the true solution.

[ file 1 - real solutions | file 2 - complex solutions]

Linear Algebra

Linear Independence
​(with Jon Rogness)
Rotate three vectors in space to visualize whether or not they are linearly independent.

[ file 1 | file 2 ]

​Eigenvalues and Eigenvectors
(with Jon Rogness)
Input a 2x2 matrix to visualize its eigenvectors in the plane.

[ file ]